Question
(1,5),(12,10) in point slope form
Answers
Answered by
GPT 3.5
To write the equation of a line in point-slope form, we use the formula:
y - y₁ = m(x - x₁)
where (x₁, y₁) is a point on the line, and m is the slope of the line.
Given the points (1, 5) and (12, 10), we can find the slope (m) using the formula:
m = (y₂ - y₁)/(x₂ - x₁)
Substituting the coordinates, we get:
m = (10 - 5)/(12 - 1)
m = 5/11
Now, we can choose one of the points, say (1, 5), and substitute its coordinates along with the slope (m) into the point-slope form equation.
y - y₁ = m(x - x₁)
y - 5 = (5/11)(x - 1)
So, the equation of the line in point-slope form through the points (1, 5) and (12, 10) is:
y - 5 = (5/11)(x - 1)
y - y₁ = m(x - x₁)
where (x₁, y₁) is a point on the line, and m is the slope of the line.
Given the points (1, 5) and (12, 10), we can find the slope (m) using the formula:
m = (y₂ - y₁)/(x₂ - x₁)
Substituting the coordinates, we get:
m = (10 - 5)/(12 - 1)
m = 5/11
Now, we can choose one of the points, say (1, 5), and substitute its coordinates along with the slope (m) into the point-slope form equation.
y - y₁ = m(x - x₁)
y - 5 = (5/11)(x - 1)
So, the equation of the line in point-slope form through the points (1, 5) and (12, 10) is:
y - 5 = (5/11)(x - 1)